On Liu's simplicial depth and Randles' interdirections
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Publication:1659197
DOI10.1016/j.csda.2016.02.002zbMath1468.62177OpenAlexW2286011825MaRDI QIDQ1659197
Yunfei Wang, Robert J. Serfling
Publication date: 15 August 2018
Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.csda.2016.02.002
Computational methods for problems pertaining to statistics (62-08) Nonparametric hypothesis testing (62G10) Hypothesis testing in multivariate analysis (62H15) Characterization and structure theory for multivariate probability distributions; copulas (62H05)
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Cites Work
- Limit theorems for \(U\)-processes
- Affine-invariant aligned rank tests for the multivariate general linear model with VARMA errors
- On a triangle counting problem
- On a notion of data depth based on random simplices
- The number of triangles covering the center of an \(n\)-set
- Limit theorems for the simplicial depth
- Geometric medians
- Algorithms for bivariate medians and a Fermat-Torricelli problem for lines.
- Multivariate analysis by data depth: Descriptive statistics, graphics and inference. (With discussions and rejoinder)
- Lower bounds for computing statistical depth.
- Estimators related to \(U\)-processes with applications to multivariate medians: Asymptotic normality
- General notions of statistical depth function.
- Optimal tests for multivariate location based on interdirections and pseudo-Mahalanobis ranks.
- Optimal procedures based on interdirections and pseudo-Mahalanobis ranks for testing multivariate elliptic white noise against ARMA dependence
- On the performance of some robust nonparametric location measures relative to a general notion of multivariate symmetry
- Equivariance and invariance properties of multivariate quantile and related functions, and the role of standardisation
- A New Bivariate Sign Test
- A multivariate signed sum test for theone-sample location problem
- A Distribution-Free Multivariate Sign Test Based on Interdirections
- A Multivariate Signed-Rank Test for the One-Sample Location Problem
- On a notion of simplicial depth
- Bivariate Sign Tests
- Sign Tests in Multidimension: Inference Based on the Geometry of the Data Cloud
- Algorithm AS 307: Bivariate Location Depth
- A Simpler, Affine-Invariant, Multivariate, Distribution-Free Sign Test
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